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Finding the Fourth Proportional to 7,119.95, 9,825.05 and 4,286.78

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Solution

The fourth proportional to 7,119.95, 9,825.05 and 4,286.78 is: 5,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.95 : 9,825.05 = 4,286.78 : x
  2. Step 2: Convert to fraction form
    7,119.95/9,825.05 = 4,286.78/x
  3. Step 3: Cross multiply
    7,119.95x = 9,825.05 × 4,286.78
  4. Step 4: Simplify right side
    7,119.95x = 42,117,757.28
  5. Step 5: Solve for x
    x = 42,117,757.28/7,119.95
  6. Step 6: Final answer
    x = 5,915.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.